Show commands:
SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 247962z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
247962.z1 | 247962z1 | \([1, 1, 1, -1205425, 438506639]\) | \(27768533625361/4134297024\) | \(28839853228472155584\) | \([]\) | \(7931520\) | \(2.4585\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 247962z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 247962z do not have complex multiplication.Modular form 247962.2.a.z
sage: E.q_eigenform(10)